What is the Least Common Multiple of 78342 and 78360?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 78342 and 78360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78342 and 78360, than apply into the LCM equation.

GCF(78342,78360) = 6
LCM(78342,78360) = ( 78342 × 78360) / 6
LCM(78342,78360) = 6138879120 / 6
LCM(78342,78360) = 1023146520

Least Common Multiple (LCM) of 78342 and 78360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78342 and 78360. First we will calculate the prime factors of 78342 and 78360.

Prime Factorization of 78342

Prime Factorization of 78360

Now multiplying the highest exponent prime factors to calculate the LCM of 78342 and 78360.

LCM(78342,78360) = 2³ × 3¹ × 11¹ × 1187¹ × 5¹ × 653¹
LCM(78342,78360) = 1023146520